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Finding the Fourth Proportional to 524,492.40, 787,516.20 and 314,540.40

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Solution

The fourth proportional to 524,492.40, 787,516.20 and 314,540.40 is: 472,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,492.40 : 787,516.20 = 314,540.40 : x
  2. Step 2: Convert to fraction form
    524,492.40/787,516.20 = 314,540.40/x
  3. Step 3: Cross multiply
    524,492.40x = 787,516.20 × 314,540.40
  4. Step 4: Simplify right side
    524,492.40x = 247,705,660,554.48
  5. Step 5: Solve for x
    x = 247,705,660,554.48/524,492.40
  6. Step 6: Final answer
    x = 472,276.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.